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Earthquakes

Elastic Rebound Theory

Earthquakes occur when strain exceeds the

strength of the rock and the rock fractures.

The arrival of

earthquakes waves is

recorded by a

seismograph. The

amplitude of the P-

wave displacement is

used to determine the

Richter magnitude.

Earthquake Waves • Body waves – move through the solid earth

P-waves - longitudinal

S-waves - transverse

• Surface waves - transverse

Recording Earthquakes

Locating earthquake epicenter

Determination of Richter Magnitude for an Earthquake

M = log(X/T) + Y

1M ~ 10X

Energy ~ X2

1M ~ 100x energy

However, energy

increase when

summed over the

whole range of

waves in a wave

record is only 30x.

Confusion time!

Earthquake magnitude – amount of energy released

Earthquake intensity – damage caused by earthquake • Subsurface material

• Type of construction

• May not be directly related to earthquake magnitude

Let’s break some rocks!

Rock mechanics

experiments

Triaxial load machine. a) cross-sectional sketch showing the pressure

vessel, sample, and piston; b) photograph of machine.

Two deformed samples. L) induced fracture; R) saw-cut for

friction experiments. There is a 5 mm-thick layer of gouge along

the cut. Samples are 3.5" long and 2" in diameter.

Types of Faults

Normal fault. Left

side moved down

relative to right side.

Principal stress orientations

Right lateral strike-slip

fault.

Thrust fault. Block on left

thrust up and over the block

on the right.

Principle

stress

orientations

Principal

stress

orientations

Direction of movement

Slickenslides show sense

and direction of movement

on a fault plane.

Fluids and earthquakes

If water, or another fluid,

occurs in a fault zone

τ = μ(σn – Pw) = μS

where Pw = fluid pressure

and (σn – Pw) = effective

normal stress S.

The famous beer can

experiment – an

interesting way to spend

an evening doing science.

Rocky Mount Arsenal deep waste-disposal well and Denver earthquakes.

Orientation of present-day US principal stresses

Geology and

Earthquakes in

Eastern

Massachusetts and

New England

Large Earthquakes 1638-2012

All the known or suspected

earthquakes of magnitude 5.0

or greater in New England

and vicinity. There were

damaging earthquakes

centered in New England in

1638, 1727, 1755, 1904 and

1940. The largest earthquake

on this plot was about M7.5

at Charlevoix, Quebec in

1663.

1638

(M6.5?) 1727 (M5.6)

1755

(M6.2)

1904

(M5.9)

1940 (M5.5)

2010

(M5.0)

Charlevoix

Seismic Zone

1727 Newburyport

Earthquake

The earthquake damaged

chimneys and stone walls in

Newbury, Massachusetts and

nearby towns. It was felt to

Philadelphia and Casco Bay,

Maine.

Estimated magnitude of this

earthquake is 5.6.

Earthquake Hazards • Primary – ground motion and surface rupture

• Secondary – fires, landslides, liquefaction, tsunamis

Primary effects - most earthquake damage is caused by differential movement

of the land surface due to the passage of the transverse surface waves.

Liquefaction Tsunami Landslide

Fire Mud volcano

Secondary Effects

Seismic-risk map for the contiguous United States

Boston is in the same seismic-risk zone as San Francisco

Peak Ground

Acceleration (PGA) in

m/s2

Predicting Earthquakes

1) Recurrence intervals – can only be applied to relatively frequent

earthquakes

2) Seismic quiet zones – an inactive area along a fault trace

represents a region in which strain is accumulating – a potential

locus for failure

3) Changes in water level in wells – as rocks begin to fail voids

develop (dilatancy) and groundwater moves into the voids

4) Increase in frequency of small earthquakes – precursor

earthquakes

5) Strain measurements – monitor accumulation of strain

6) Folklore

Recurrence Interval

Dilatancy model

Parkfield, CA

Earthquake occurred in 2004

Accept reality – there is no such thing as an earthquake proof

building. Earthquakes will occur, structures will fail, and there will be

loss of human life. It is doubtful that earthquake prediction will ever

have the immediacy to make evacuation a viable option.

Engineering Solutions Design structure to be earthquake resistant

1) Anchor structure to bedrock

2) Strengthen against lateral movement

3) Secure façade to building frame

4) Decouple building mass from foundation

Building 101

Earthquakes and the Earth’s Interior

Seismic Discontinuities

Planet Earth – the megascopic scale

Plate Boundaries and Earthquakes

A tectonic plate

consists of the crust of

the earth and the upper

part of the mantle (the

lithosphere). The

lithosphere behaves as

a rigid solid. The

Moho is a seismic

discontinuity within

the lithosphere that

marks the boundary

between the crust and

the mantle. The

tectonic plate moves

on the asthenosphere,

a portion of the mantle

that behaves

plastically.

Four types of seismic activity characteristic of plate boundaries

1. Spreading ridges: shallow earthquakes, relatively low magnitude, occurring in lines

2. Transform faults: shallow focus, sometimes very powerful earthquakes

3. Continental collisions: shallow-deep focus in broad bands, can be very powerful

4. Subduction zones: deepest and most powerful earthquakes, some megathrust, some tsunami

Three types of plate boundaries – (1) spreading centers, (2)

subduction zones, and (3) strike-slip faults (plates are sliding

past each other).

Spreading center – mid-ocean ridge system and the East

African rift system and rift valley

Earthquakes associated with

oceanic trenches extend to

great depths. This was a puzzle

because for earthquakes to

occur rocks must behave as

elastic solids. At depths greater

than 70 km rocks do not

behave as elastic solids.

Something else must be going

on. The interpretation, backed

by gravity and heat flow data,

was that the seafloor was

returning to the mantle of the

earth. This process is referred

to as subduction.

Subduction zone

Strike-slip fault – two plates sliding by each other

Convection in the Earth’s Mantle

Spreading occurs where mantle material rises and subduction

occurs where mantle material descends.

Seismic velocity variations and mantle convection

Seismic velocity

variations can be

correlated with

differences in

mantle density and

inferred differences

in temperature. Red

= hot, blue = cold.

Transfer of heat

energy, by

convection in the

mantle, from the

core of the earth to

the surface is the

driving force for

plate tectonics.